ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

The set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a group D

(A∩Bc)c= -------------------------

• Ac∪Bc A
• Ac∪B B
• Ac∩B C
• None of these D

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set C
• None of these D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B D

• 
  A
• 
  B
• 
  C
• 
  D

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

• 36 +(-32)i A
• -36+32i B
• 6+(-11)i C
• 0, +(-12)i D

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

• A A
• B B
• U C
• None of these D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

If A and B are two sets then any subset R of A x B is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

If A = {2m/m³= 8 , m€ Z} then A =

• {1,8,27} A
• {4} B
• (2,4,6} C
• {2,16,54} D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

• -a A
• a +1 B
• -1-a C
• None of these D

If p and q are two statements then their conjunction is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The set of first elements of the ordered pairs in a relation is called its

• domain A
• range B
• relation C
• function D

• A onto B A
• both a & c B
• A into B C
• none of these D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D